3686127072 has 192 divisors, whose sum is σ = 10551985920. Its totient is φ = 1122729984.

The previous prime is 3686127061. The next prime is 3686127073. The reversal of 3686127072 is 2707216863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686127073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13025043 + ... + 13025325.

It is an arithmetic number, because the mean of its divisors is an integer number (54958260).

Almost surely, 2^3686127072 is an apocalyptic number.

3686127072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275992960).

3686127072 is an abundant number, since it is smaller than the sum of its proper divisors (6865858848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3686127072 is a wasteful number, since it uses less digits than its factorization.

3686127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3686127072 is about 60713.4834447835. The cubic root of 3686127072 is about 1544.7448910070.

The spelling of 3686127072 in words is "three billion, six hundred eighty-six million, one hundred twenty-seven thousand, seventy-two".